The four more random jump after 10 rolls path of a die and tosses of a coin in provided diagram and also estimate “sum of starting point to the finish of particle divide by 5”when The figure of random motion in two dimensions. The particle moves in a series of1-unit “jumps,” each one in a random direction, any one of12 equally likely possibilities. One way to choose directions is to roll a fair die and toss a fair coin. The die determines one of the directions 1–6, coupled with heads on the coin.Tails on the coin reverses the direction of the die, so that the die coupled with tails gives directions 7–12. That3h (meaning3 with the die and heads with the coin) gives direction 3;3t gives direction 9 (opposite to 3); and so on. And the provided path is,

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Chapter 11.5, Problem 50E

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The four more random jump after 10 rolls path of a die and tosses of a coin in provided diagram and also estimate “sum of starting point to the finish of particle divide by 5”when The figure of random motion in two dimensions. The particle moves in a series of1-unit “jumps,” each one in a random direction, any one of12 equally likely possibilities. One way to choose directions is to roll a fair die and toss a fair coin. The die determines one of the directions 1–6, coupled with heads on the coin.Tails on the coin reverses the direction of the die, so that the die coupled with tails gives directions 7–12. That3h (meaning3 with the die and heads with the coin) gives direction 3;3t gives direction 9 (opposite to 3); and so on.

And the provided path is,

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Exercise 2 A manufacturing process always has 8 parts in process. A part must successfully complete two steps (step 1 and step 2) to be completed. A single machine performs step 1 and can process an average of 8 parts per minute. A single machine performs step 2 and can process 11 parts per minute. Unfortunately, step 2 is not totally reliable. (Step 1 is totally reliable, however.) Each time a part is sent through step 2, there is a 10% chance that step 2 must be repeated. a) Find the steady-state distribution of parts at each machine. b) Find the average number of parts at each machine. c) Find the probability that each machine is busy. d) Find the number of parts per minute successfully completing service at each machine.